On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations
On the Global Behavior of Classical Solutions to Coupled Systems of Semilinear Wave Equations
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DOI：
10.1007/3-7643-7386-5_2
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
H. Kubo;Masahito Ohta
中科院分区：
文献类型：
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作者：
H. Kubo;Masahito Ohta
这项工作的目的是双重的。一个是发展一种方法来处理John [38]采用的半线性波动方程。在第二节中，将以一种自成一体的方式解释论证的基础。另一个是波动方程系统的方法的应用。我们将在第3、4和5节中利用它来处理半线性情形，并在第6节中考虑拟线性情形。在这些论证中，我们重点讨论了单波分量服从不同传播速度的系统。
The aim of this work is twofold. One is to develop an approach for dealing with semilinear wave equations adopted by John [38]. In Section 2, the basis of the argument will be explained in a self-contained way. The other is an application of the approach to systems of wave equations. We shall make use of it to handle the semilinear case in Sections 3,4 and 5, and to consider the quasilinear case in Section 6. In these argument we bring such systems that the single wave components obey different propagation speeds into focus.